Geometry Questions

Suppose a triangle has sides 1 1 and 1 Which of the following must be true OA The triangle in question may or may not be a right triangle B The triangle in question is a right triangle C The triangle in question is not a right triangle

The measure of e in degrees is approximately 34 38 OA True B False 8 7 5 3

The law of cosines is a b 2abcosC c Find the value of 2abcosC 2 12 A B 1 OA 3 5 OB 7 O C 7 D 25

What is the approximate volume of a tree trunk if the trunk is 12 feet tall with a circumference of 4 5 feet Recall that the circumference of a circle is equal to pi times its diameter OA 25 92 ft3 OB 21 17 ft3 O C 19 34 ft O D 29 40 ft3

Laura has a 1000 bond with a 3 4 coupon Laura purchased this bond for 1065 What is the yield of this new bond OA 3 0 O B 3 6 OC 3 4 OD 3 2

In ADEF sin D D 39 15 E 39 O A 15 OB 15 O C 39 15 36 36 39 What is cos E

Dora took out an 8 year loan for 83 000 at an APR of 10 7 compounded monthly while Edith took out an 8 year loan for 93 000 at an APR of 10 7 compounded monthly Who would save more by paying off her loan 6 years early OA Edith would save more because she borrowed 10 000 more in principal O B Edith would save more because she borrowed 10 000 less in principal O C Dora would save more because she borrowed 10 000 less in principal D Dora would save more because she borrowed 10 000 more in

Harry took out a 25 year loan for 160 000 at 9 6 interest compounded monthly If his monthly payment on the loan is 1409 05 how much of his first payment went toward note reduction OA 129 05 OB 1280 00 OC 1409 05 OD 135 27

Find EF in the trapezoid EF A E B 2 D 2x 5 5x 4 F

Which will have a higher effective interest rate a payday loan for 2500 due in 17 days with a fee of 130 or a payday loan for 2500 due in 15 days with a fee of 130 OA A payday loan for 2500 due in 15 days with a fee of 130 because it has the shorter period O B A payday loan for 2500 due in 17 days with a fee of 130 because it has the longer period O C A payday loan for 2500 due in 15 days with a fee of 130 because it has the longer period D A payday loan for 2500 due in 17 days with a fee of 130 because it has the shorter period

Find the measures of the numbered angles in the kite m21 Type an integer or a decimal m22 Type an integer or a decimal The figure is not drawn to sc

Which of these is an optional deduction for money to be taken out of an employee s paycheck OA Social Security OB Medicare OC Disability insurance OD Federal income tax

What is sin 28 28 17 15 62 90 00

Which of these is an example of a recurring payment variable annuity A An annuity with an APR of 3 4 into which you invest 2500 each year B An annuity with a minimum APR of 3 4 into which you invest 2500 each year C An annuity with an APR of 3 4 into which you invest a lump sum of 12 500 D An annuity with a minimum APR of 3 4 into which you invest a lump sum of 12 500

oval O A O B triangle O C circle D square

If a company has 5 employees with annual salaries of 40 000 50 000 40 000 60 000 and 90 000 what is the mean annual salary at the company OA 56 000 OB 70 000 OC 50 000 OD 40 000

Fruit cocktail comes in large and small cylindrical cans The larger can has a radius and height that are both twice as long as that of the radius and height of the smaller can If the volume of the smaller can is 28 64 in3 what is the volume of the larger can A 229 12 in OB 57 28 in 3 C 114 56 in OD 171 84 in

Geneva worked for 10 hours and 15 minutes How should she write that on her time card OA 10 25 OB 10 15 O C 10 75 OD 10 5

Given a sphere with a diameter of 6 2 cm find its volume to the nearest whole number A 125 cm B 998 cm3 OC 70 cm D 39 cm

The diameter of a soccer ball is 8 65 inches What is the volume of the ball rounded to the nearest hundredth OA 338 88 in OB 313 42 in3 OC 323 18 in OD 234 06 in

Virgil heard that as a general rule he should spend no more than 30 of his take home pay on rent If Virgil s take home pay is 51 600 per year what is the maximum amount per month that he should spend on rent O A 4300 OB 1548 OC 3010 OD 1290

In triangle ABC mZA 45 mZB 40 and a 7 Which equation should you solve to find b OA sin45 7 OB B Cos45 sin40 b co840 b C sin45 b D b272 2 7 bcos40 sin40

Suppose you invest 63 a month in an annuity that earns a 3 3 compounded monthly How much money will you have in this account after 4 years OA 3227 93 OB 3043 63 C 3024 00 D 3025 96

The most Bo can afford to pay per year in mortgage payments is 10 500 and his credit score is currently 544 According to the following table for a 150 000 mortgage by how many points would he need to improve his credit score in order to take a mortgage for 150 000 OA 156 points FICO Score 720 850 700 719 675 699 620 6 560 619 500 559 Monthly Payment Interest Rate 5 59 860 5 71 872 6 25 924 7 40 1 039 8 53 1 157 9 29 1 238

The ratio opposite describes which function adjacent O A Tangent OB Cosine OC Secant OD Sine

Last year a construction worker had a gross income of 29 700 of which he contributed 7 to his 401 k plan If he got paid monthly how much was deducted from each paycheck for his 401 k plan OA 173 25 OB 86 63 C 39 98 D 297 00

O A square O B rectangle OC circle OD oval

What is the shape of the cross section formed when a cylinder intersects a plane as shown in the drawing

Alton had 725 for Medicare 3000 for state income tax and 3100 for Social Security deducted from his pay last year How much did Alton have deducted from his pay for FICA last year OA 3825 because FICA consists of Medicare and Social Security OB 3725 because FICA consists of Medicare and Social Security OC 3825 because FICA consists of Medicare and state income tax D 3725 because FICA consists of Medicare and state income tax

Hunter decides to invest 840 000 in a period annuity that earns a 4 2 AF compounded monthly for a period of 30 years How much money will Hun be paid each month O A 5179 19 O B 4527 12 C 4107 74 D 6297 90

17 Denklemi e im kesi im bi iminde yaz n Ard ndan e imi ve y kesi im noktas n belirleyin 5x 2y 6 E im kesi im formu

3 E X G

3 Name the major arcs in OO containing point F Select all the major arcs by their correct names k E

or 14 AB is translated along the vector to produce A B What is the most precise name for quadrilateral ABB A A E the transformation Then write a sentence to justify your answer 2 points each 15 CD is reflected over Line m to produce C D What is the most precise name for quadrilateral CDD C m Wang Tuey 16 EF is rotated about Point F by x to produce E F Classify AEFE by the length of its sides

T6 Prove trigonometric identities using reciprocal identities quotient identities Pythagorean identities sum or difference identities restricted to sine cosine and tangent double angle identities restricted to sine cosine and tangent 1 15 pts Prove 3 of the following identities for all permissible values of the variable Clearly indicate the selected identity and the chosen side State any non permissible values sinx A C 1 cos x cos 8 cote sec8 tan 8 B cot 8 1 sin 0 tan 8 1 cos 0 1 60s sinx tan x cos x CSCX 1 cos x D cot 0

E im ve y kesi im noktas n kullanarak her denklemin grafigl 3 15 y x 1 4 yama y int 7 6 5 4 3 2 1 2 3 4 5 8 3 4 5 16 8y 16x 24 E im kesi im formu yama y int 7 5 6 4 3 2 6 5 3 24 2 2 3 5

2 Draw examples of inscribed angles that intercept the diameter of the circle What conjecture can you make about the measure of the inscribed angle

5 Consider the graph shown y 2 0 2 Sp 100 150 200 250 300 350 n a Determine the equation of a sine function that matches the graph going function that matches the gra

Find the equation of the quadratic function f whose graph is shown below 14 12 10 6 2 5 5 15 V f x 0

7 Use algebra to explain why m B m C m D m E C F E

3 Calculating a Heading A woman launches a boat from one shore of a straight river and wants to at the point directly on the opposite shore If the speed of the boat relative to the water is 10 mi h and the river is flowing east at the rate of 5 mi h in what direction should she steer the boat to arrive at the desired landing point See Example 5 from the 5 3a lesson notes Answer 8 120 Direction N 30 W Heading 330 W 0 AN

2 Determine the unknown length Round to the nearest hundredth 60 6 ft

7 During a group hike a park ranger makes the following path How far west did they travel 2 miles 12 N S

4 A boat travels in the following path How far north did it travel N WATE 23 45 miles

5 Determine the unknown length Round to the nearest hundredth V1 1 yd 25

9 Determine the unknown length Round to the nearest hundredth X 5

10 To determine the height of a tree a botanist makes the following diagram What is the height of the tree z

8 A surveyor makes the following diagram of a hill What is the height of the hill 35 2450 ft

6 Determine the unknown length Round to the nearest hundredth 63 3 2 yd

1 Determine the unknown length Round to the nearest hundredth X 2 ft 40